| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6416877 | Linear Algebra and its Applications | 2011 | 11 Pages |
Abstract
The companion factorization for nonsingular matrices belonging to the general linear group GL(n;C) is studied here. The entries in the last row of the companion matrices are explicitly represented in terms of determinants of proper sub-matrices of the matrix being factorized. The computation of the inverse of a nonsingular matrix is given as an application of this factorization.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
J. Abderramán Marrero, M. Rachidi,